Analysis of the discontinuous Galerkin method for nonlinear convection-diffusion problems

被引：66
|
作者：
Dolejsí, V
Feistauer, M
Sobotíková, V
机构：
[1] Charles Univ, Fac Math & Phys, Prague 18675, Czech Republic
[2] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague 16627 6, Czech Republic
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 25-26期
关键词：
nonlinear convection-diffusion equation; discontinuous Galerkin finite element method; nonsymmetric stabilization of diffusive terms; interior and boundary penalty; asymptotic error estimates; numerical experiments;
D O I：
10.1016/j.cma.2004.07.017
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The subject-matter is the analysis of the discontinuous Galerkin finite element method applied to a nonlinear convection-diffusion problem. In the contrary to the standard FEM the requirement of the conforming properties is omitted. This allows us to consider general polyhedral elements with mutually disjoint interiors. We do not require their convexity, but assume only that they are star-shaped. We present an error analysis for the case of a nonsymmetric discretization of diffusion terms. Theoretical results are accompanied by numerical experiments. © 2004 Elsevier B.V. All rights reserved.
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页码：2709 / 2733
页数：25
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